What is the Greatest Common Factor of 71205 and 71224?

Greatest common factor (GCF) of 71205 and 71224 is 1.

GCF(71205,71224) = 1

We will now calculate the prime factors of 71205 and 71224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71205 and 71224.

How to find the GCF of 71205 and 71224?

We will first find the prime factorization of 71205 and 71224. After we will calculate the factors of 71205 and 71224 and find the biggest common factor number .

Step-1: Prime Factorization of 71205

Prime factors of 71205 are 3, 5, 47, 101. Prime factorization of 71205 in exponential form is:

71205 = 3¹ × 5¹ × 47¹ × 101¹

Step-2: Prime Factorization of 71224

Prime factors of 71224 are 2, 29, 307. Prime factorization of 71224 in exponential form is:

71224 = 2³ × 29¹ × 307¹

Step-3: Factors of 71205

List of positive integer factors of 71205 that divides 71205 without a remainder.

1, 3, 5, 15, 47, 101, 141, 235, 303, 505, 705, 1515, 4747, 14241, 23735

Step-4: Factors of 71224

List of positive integer factors of 71224 that divides 71205 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 307, 614, 1228, 2456, 8903, 17806, 35612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71205 and 71224. The biggest common factor number is the GCF number.
So the greatest common factor 71205 and 71224 is 1.

Also check out the Least Common Multiple of 71205 and 71224